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3 years ago

Subject: GeometryFind missing angleFind the measurement for a

Mathematics

1 answer:

ELEN [110]3 years ago

8 0

Answer:straight line angle =180 degree as we know

there are three angles in straight line means sum of all angles must = 180

15+a+38=180

so 53+a=180

so a=180-53

ans a=127 degree

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Explain how to determine if something is a vector space or not

nlexa [21]

All you do is referring to the following definition:

Definition: A vector space is a set V on which two operations + and · are defined, called vector addition and scalar multiplication.

The operation + (vector addition) must satisfy the following conditions:

Closure: If u and v are any vectors in V, then the sum u + v belongs to V.

(1) Commutative law: For all vectors u and v in V, u + v = v + u

(2) Associative law: For all vectors u, v, w in V, u + (v + w) = (u + v) + w

(3) Additive identity: The set V contains an additive identity element, denoted by 0, such that for any vector v in V, 0 + v = v and v + 0 = v.

(4) Additive inverses: For each vector v in V, the equations v + x = 0 and x + v = 0 have a solution x in V, called an additive inverse of v, and denoted by - v.

The operation · (scalar multiplication) is defined between real numbers (or scalars) and vectors, and must satisfy the following conditions:

Closure: If v in any vector in V, and c is any real number, then the product c · v belongs to V.

(5) Distributive law: For all real numbers c and all vectors u, v in V, c · (u + v) = c · u + c · v

(6) Distributive law: For all real numbers c, d and all vectors v in V, (c+d) · v = c · v + d · v

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3 years ago

Write an equation of the translated function of the parent function f(x)=|x| with the following transformations:

MrRa [10]

Answer:

Option b

Step-by-step explanation:

To write the searched equation we must modify the function f (x) = | x | in the following way:

1. Do y = f(x + 4)

This operation horizontally shifts the function f(x) = | x | by a factor of 4 units to the left on the x axis.

y = | x +4 |

2. Do $y = f (\frac{1}{4}x)$

This operation horizontally expands the function f (x) = | x | in a factor of 4 units. $y = |\frac{1}{4}x + 1|$

3. Do $y = f(x)-4$

This operation vertically shifts the function f (x) = | x | by a factor of 4 units down on the y-axis.

$y = |\frac{1}{4}x +1| -4$

4. After these transformations the function f(x) = | x | it looks like:

$f(x) = |\frac{1}{4}x +1| -4$

Therefore the correct option is option b. You can verify that your vertex is at point (-4, -4) by making f (-4)

$f(-4) = |\frac{1}{4}(-4) +1| -4 = -4$

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4 years ago

What is the simple way of solving quadratic equation

aleksandrvk [35]

quadratic equations can be soled by 3 methods

factorization

completing square

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but factorization is the simplest

4 0

3 years ago

The volume of the rectangular solid below is 1,440 cubic inches. What could be the length and width of this rectangular solid?

Rudik [331]

C. 8 inches by 20 inches

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3 years ago

How do you solve it?

MatroZZZ [7]

Answer:

i: x=-2, x=1

ii: x=-1/2

Step-by-step explanation:

Quadratic form:

You solve i by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

$(x+2)(x-1)=0$

"first" would be $x*x$ , which would equal $x^{2}$

"outside" would be $x*-1$ , which would equal $-1x, or -x$

"inside" would be $2*x$ , which would equal $2x$

"last" would be $2*-1$ , which would equal $-2$

Now you need to combine the terms so that they are one after the other

$x^{2}-x$ $+2x-2$

Combine like terms, and you should get:

$x^{2} +x-2$

i Solution

You need to get the variable by itself.

Subtract two from both sides

$x+2=0\\x=-2$

Add one to both sides.

$x-1=0\\x=1$

ii Solution

Add all the terms.

$x+2+x-1=0\\2x+1=0\\2x=-1\\x=-\frac{1}{2}$

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4 years ago